Results 31 to 40 of about 2,202,910 (212)

Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]

open access: yesEngineering and Technology Journal, 2011
In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
doaj   +1 more source

Fredholm‐Volterra integral equation with potential kernel [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), , z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to
M. A. Abdou, Alaa A. El-Bary
openaire   +4 more sources

A random Fredholm integral equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
The aim of this paper is the study of a random or stochastic integral equation of the Fredholm type given by x ( t ;
Padgett, W. J., Tsokos, Chris P.
openaire   +1 more source

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

open access: yesJournal of Applied Mathematics, 2012
A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work. The method is based upon hybrid function approximate.
Jianhua Hou, Beibo Qin, Changqing Yang
doaj   +1 more source

A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

open access: yesAdvances in Difference Equations, 2018
In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
doaj   +1 more source

Fredholm and Volterra nonlinear possibilistic integral equations [PDF]

open access: yes, 2021
In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
IANCU, Ionuț T., GAL, Sorin G.
core   +1 more source

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

open access: yesJournal of Applied Mathematics, 2012
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
doaj   +1 more source

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
doaj   +1 more source

Localization and separation of solutions for Fredholm integral equations [PDF]

open access: yes, 2020
[EN] In this paper, we establish a qualitative study of nonlinear Fredholm integral equations, where we will carry out a study on the localization and separation of solutions. Moreover, we consider an efficient algorithm to approximate a solution.
Hernández-Verón, Miguel Angel   +5 more
core   +1 more source

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

open access: yesJournal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh   +3 more
doaj   +1 more source

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